A212288 Numbers n such that fusc(k) < fusc(n) for all k < n, where fusc is Stern's diatomic series.

1, 3, 5, 9, 11, 19, 21, 35, 37, 43, 69, 73, 75, 83, 85, 139, 147, 149, 165, 171, 277, 293, 299, 331, 339, 341, 555, 587, 595, 597, 661, 683, 1109, 1173, 1189, 1195, 1323, 1355, 1363, 1365, 2219, 2347, 2379, 2387, 2389, 2645, 2709, 2731, 4437, 4691, 4693, 4757, 4779, 5291

Offset

1,2

Comments

Position of first occurrence of each distinct element in A270362. - Jeffrey Shallit, Mar 15 2016

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..645

Ali Keramatipour and Jeffrey Shallit, Record-Setters in the Stern Sequence, arXiv:2205.06223 [math.CO], 2022.

Prog

(PARI) fusc(n)=my(a=1, b=0); while(n, if(n%2, b+=a, a+=b); n>>=1); b
r=0; for(n=1, 1e5, t=fusc(n); if(t>r, r=t; print1(n", ")))

Crossrefs

Cf. A002487, A212289, A270362.

Sequence in context: A123328 A226175 A091945 * A213208 A282098 A034760

Adjacent sequences: A212285 A212286 A212287 * A212289 A212290 A212291

Keyword

nonn

Author

Charles R Greathouse IV, Jun 13 2012

Status

approved